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math.QA2025
A Tensor Category Construction of the Triplet Vertex Operator Algebra and Applications
Robert McRae, Valerii Sopin
For coprime , the triplet vertex operator algebra is a non-simple extension of the universal Virasoro vertex operator algebra of central charge…
math.QA2023★ 5 cited
Fusion and (non)-rigidity of Virasoro Kac modules in logarithmic minimal models at -central charge
Robert McRae, Valerii Sopin
Let be the category of finite-length modules for the Virasoro Lie algebra at central charge whose composition factors are irreducible quotients of reducible Ver…
math.QA2021
Quantum Lichnerowicz - Poisson complex
Valerii Sopin
Using the curved bc-beta-gamma system (a tensor product of a Heisenberg and a Clifford vertex algebra) we introduce quantum analogy of Lichnerowicz differential. As follows we sugg…